9+8(x-1)=8-2(x-4)

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Solution for 9+8(x-1)=8-2(x-4) equation:


Simplifying
9 + 8(x + -1) = 8 + -2(x + -4)

Reorder the terms:
9 + 8(-1 + x) = 8 + -2(x + -4)
9 + (-1 * 8 + x * 8) = 8 + -2(x + -4)
9 + (-8 + 8x) = 8 + -2(x + -4)

Combine like terms: 9 + -8 = 1
1 + 8x = 8 + -2(x + -4)

Reorder the terms:
1 + 8x = 8 + -2(-4 + x)
1 + 8x = 8 + (-4 * -2 + x * -2)
1 + 8x = 8 + (8 + -2x)

Combine like terms: 8 + 8 = 16
1 + 8x = 16 + -2x

Solving
1 + 8x = 16 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
1 + 8x + 2x = 16 + -2x + 2x

Combine like terms: 8x + 2x = 10x
1 + 10x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 10x = 16 + 0
1 + 10x = 16

Add '-1' to each side of the equation.
1 + -1 + 10x = 16 + -1

Combine like terms: 1 + -1 = 0
0 + 10x = 16 + -1
10x = 16 + -1

Combine like terms: 16 + -1 = 15
10x = 15

Divide each side by '10'.
x = 1.5

Simplifying
x = 1.5

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